A probabilistic version of a theorem of László Kovács and Hyo-Seob Sim

Document Type : Ischia Group Theory 2018


Dipartimento di Matematica Università di Padova


For a finite group group‎, ‎denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group‎. ‎{Assume} that for every $p\in \pi(G)$ there exists $G_p\leq G$ such that $p$ does not divide $|G:G_p|$ and ${\mathcal V}(G_p)\leq d.$ Then ${\mathcal V}(G)\leq d+7.$‎


Main Subjects

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Volume 9, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory 2018
March 2020
Pages 1-6
  • Receive Date: 14 August 2018
  • Revise Date: 13 November 2018
  • Accept Date: 20 November 2018
  • Published Online: 01 March 2020